The aim of this paper is to show an existence theorem for a kinetic model of coagulation–fragmentation with initial data satisfying the natural physical bounds, and assumptions of finite number of particles and finite -norm. We use the notion of renormalized solutions introduced by DiPerna and Lions (1989) [3], because of the lack of a priori estimates. The proof is based on weak-compactness methods in , allowed by -norms propagation.
@article{AIHPC_2010__27_3_809_0, author = {Broizat, Damien}, title = {A kinetic model for coagulation--fragmentation}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {27}, year = {2010}, pages = {809-836}, doi = {10.1016/j.anihpc.2009.11.014}, mrnumber = {2629881}, zbl = {1190.82050}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_2010__27_3_809_0} }
Broizat, Damien. A kinetic model for coagulation–fragmentation. Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) pp. 809-836. doi : 10.1016/j.anihpc.2009.11.014. http://gdmltest.u-ga.fr/item/AIHPC_2010__27_3_809_0/
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